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Finding the Fourth Proportional to 7,147.39, 9,864.62 and 4,165

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Solution

The fourth proportional to 7,147.39, 9,864.62 and 4,165 is: 5,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.39 : 9,864.62 = 4,165 : x
  2. Step 2: Convert to fraction form
    7,147.39/9,864.62 = 4,165/x
  3. Step 3: Cross multiply
    7,147.39x = 9,864.62 × 4,165
  4. Step 4: Simplify right side
    7,147.39x = 41,086,142.30
  5. Step 5: Solve for x
    x = 41,086,142.30/7,147.39
  6. Step 6: Final answer
    x = 5,748.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.